Dynamic optimization of 1,3-propanediol fermentation process:A switched dynamical system approach  

作　　者：Xiang Wu Yuzhou Hou Kanjian Zhang Ming Cheng 

机构地区：[1]School of Mathematical Sciences,Guizhou Normal University,Guiyang 550001,China [2]School of Life Sciences,Guizhou Normal University,Guiyang 550001,China [3]School of Electrical Engineering,Southeast University,Nanjing 210096,China [4]School of Automation,Southeast University,Nanjing 210096,China [5]Key Laboratory of Measurement and Control of CSE,Ministry of Education,Southeast University,Nanjing 210096,China

出　　处：《Chinese Journal of Chemical Engineering》2022年第4期192-204,共13页中国化学工程学报（英文版）

基　　金：the National Natural Science Foundation of China(61963010 and 61563011);the special project for cultivation of new academic talent and innovation exploration of Guizhou Normal University in 2019(11904-0520077)。

摘　　要：This paper considers a dynamic optimization problem(DOP)of 1,3-propanediol fermentation process(1,3-PFP).Our main contributions are as follows.Firstly,the DOP of 1,3-PFP is modeled as an optimal control problem of switched dynamical systems.Unlike the existing switched dynamical system optimal control problem,the state-dependent switching method is applied to design the switching rule.Then,in order to obtain the numerical solution,by introducing a discrete-valued function and using a relaxation technique,this problem is transformed into a nonlinear parameter optimization problem(NPOP).Although the gradient-based algorithm is very efficient for solving NPOPs,the existing algorithm is always trapped in a local minimum for such problems with multiple local minima.Next,in order to overcome this challenge,a gradient-based random search algorithm(GRSA)is proposed based on an improved gradient-based algorithm(IGA)and a novel random search algorithm(NRSA),which cannot usually be trapped in a local minimum.The convergence results are also established,and show that the GRSA is globally convergent.Finally,a DOP of 1,3-PFP is provided to illustrate the effectiveness of the GRSA proposed by this paper.

关 键 词：Process control OPTIMIZATION Mathematical modeling Switched system State-dependent switching Global optimization 

分 类 号：TQ923[轻工技术与工程—发酵工程]